Multiresolution direction filterbanks: Theory, design, and applications

IEEE Transactions on Signal Processing

Volumn 53, Issue 10 I, 2005, Pages 3895-3905

  Nguyen, Truong T ^a   Oraintara, Soontorn ^a  

^a The University of Texas at Arlington   (United States)

Author keywords

Curvelet transform; Directional decomposition; Directional filterbank; Directional information; Image decomposition; Multiresolution; Permissibility; Texture classification; Two dimensional digital filters; Two dimensional filter design; Two dimensional filterbanks

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FOURIER TRANSFORMS; IMAGE PROCESSING; MATRIX ALGEBRA; OPTIMIZATION; WAVELET TRANSFORMS;

CURVELET TRANSFORM; DIRECTIONAL DECOMPOSITION; DIRECTIONAL FILTERBANKS (DFBS); DIRECTIONAL INFORMATION; IMAGE DECOMPOSITION; TEXTURE CLASSIFICATION; TWO-DIMENSIONAL DIGITAL FILTERS; TWO-DIMENSIONAL FILTERBANKS DESIGN;

DIGITAL FILTERS;

EID: 27844518712     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2005.855410     Document Type: Article

References (32)

1. G. Strang and T. Q. Nguyen, Wavelets and Filterbanks. Wellesley, MA: Cambridge, 1996.
2. E. J. Candès and D. L. Donoho, "Ridgelets: A key to higher-dimensional intermittency?," Phil. Trans. R. Soc. Lond. A., pp. 2495-2509, 1999.
3. M. Vetterli, "Wavelets, approximation, and compression," IEEE Signal Process. Mag., vol. 18, no. 5, pp. 59-73, May 2001.
4. M. N. Do, "Directional Multiresolution Image Representations," Ph.D. Dissertation, Swiss Fed. Inst. Technol., Lausanne, Switzerland, Nov. 2001.
5. R. H. Bamberger and M. J. T Smith, "A filterbank for the directional decomposition of images: Theory and design," IEEE Trans. Signal Process., vol. 40, no. 7, pp. 882-893, Apr. 1992.
6. J. Rosiles and M. J. Smith, "Texture classification with a biorthogonal directional filterbank," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., 2001, pp. 1549-1552.
7. J. Rosiles and M. J. Smith, "Image denoising using directional filterbanks," in Proc. IEEE Int. Conf. Image Process., 2000, pp. 292-295.
8. C. H. Park, J. J. Lee, M. J. Smith, S. I. Park, and K.-H. Park, "Directional filterbank-based fingerprint feature extraction and matching," IEEE Trans. Circuits Syst. Video Technol., vol. 14, no. 1, pp. 74-85, Jan. 2004.
9. S. I. Park, M. J. Smith, and R. M. Mersereau, "A new directional filterbank for image analysis and classification," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Mar. 2000, pp. 1417-1420.
10. P. Hong and M. J. Smith, "An octave-band family of nouredundant directional filterbanks," in Proc. Int. Conf. Acoust., Speech, Signal Process., Orlando, FL, May 2002, pp. 1165-1168.
11. M. N. Do and M. Vetterli, "Contourlets," in Beyond Wavelets, G. V. Welland, Ed. Amsterdam, The Netherlands: Academic, 2003, ch. 4, pp. 83-105.
12. E. J. Candès and D. L. Donoho, "Curvelets - A surprisingly effective nonadaptive representation for objects with edges," in Curves and Surfaces. Nashville, TN, 1999.
13. P. J. Burr and E. H. Adelson, "The Laplacian pyramid as a compact image code," IEEE Trans. Commun., vol. COM-31, no. 4, pp. 532-540, Apr. 1983.
14. Y. Lu and M. N. Do, "Crisp-contourlets: A critically sampled directional multiresolution image representation," in Proc. SPIE Conf. Wavelet Applications Signal Image Process., San Diego, CA, Aug. 2003.
15. T.T. Nguyen and S. Oralntara, "A directional decomposition: Theory, design, and implementation," in Proc. Int. Symp. Circuits Syst., Vancouver, BC, Canada, May 2004.
16. M. Ikehara and T. Q. Ngnyen, "On 2-D perfect reconstruction linear phase filterbanks," in Proc. Thirty-First Asilomar Conf. Signals, Syst., Comput., 1997, pp. 721-725.
17. T.T. Nguyen and S. Oralntara, "A multiresohition direction filterbanks for image applications," in Proc. Int. Conf. Acoust., Speech, Signal Process., Montreal, QC, Canada, May 2004.
18. P. Valdyanathan, Multirate Systems and Filterbanks. Englewood Cliffs, NJ: Prentice-Hall, 1993.
19. T. Chen and P. Vaidyanathan, "Considerations in multidimensional filter bank design," in Proc. IEEE Int. Symp. Circuits Syst., May 1993, pp. 643-645.
20. S. Oraintara and T. Q. Nguyen, "Multidimensional 2-channel filter banks," in Proc. Thirty-First Asilomar Conf. Signals, Syst., Comput., vol. 2, Nov. 1997, pp. 1269-1273.
21. T. Chen and P. Valdyanathan, "Recent developments in multidimensional multirate systems," IEEE Trans. Circuits Syst. Video Technol., vol. 3, no. 2, pp. 116-137, Apr. 1993.
22. Y. P. Lin and P. P. Vaidyanathan, "Theory and design of two-parallelogram filterbanks," IEEE Trans. Signal Process., vol. 44, no. 11, pp. 2688-2705, Nov. 1996.
23. H. Yah and M. Ikehara, "Two-dimensional perfect reconstruction fir filterbanks with triangular supports," IEEE Trans. Signal Process., vol. 47, no. 4, pp. 1003-1009, Apr. 1999.
24. D. B. H. Tay and N. G. Kingsbury, "Flexible design of multidimensional perfect reconstruction FIR 2-band filters using transformations of variables," IEEE Trans. Image Process., vol. 2, no. 4, pp. 466-480, Oct. 1993.
25. S.-M. Phoong, C. Kim, P. Vaidyanathan, and R. Ansari, "A new class of two-channel biorthogonal filterbanks and wavelet bases," IEEE Trans. Signal Process., vol. 43, no. 3, pp. 649-665, Mar. 1995.
26. Y. P. Lin and P. P. Vaidyanathan, "Theory and design of two-dimensional filterbanks: A review," Multidimen. Syst. Signal Process., vol. 7, pp. 263-330, 1996.
27. J. S. Lim, Two-Dimensional Signal and Image Processing. Englewood Cliffs, NJ: Prentice-Hall, 1990.
28. M. Vetterli and J. Kovacevic, Wavelets and Subband Coding. Englewood Cliffs, NJ: Prentice-Hall, 1995.
29. W.-S. Lu, A. Antoniou, and H. Xu, "A direct method for the design of 2-d nonseparable diamond-shaped filterbanks," IEEE Trans. Circuits Syst. II, vol. 45, no. 8, pp. 1146-1150, Aug. 1998.
30. K. Nayebi, T. P. Barnwell, and M. J. Smith, "Time-domain filterbank analysis: A new design theory," IEEE Trans. Signal Process., vol. 40, no. 6, pp. 1412-1429, Jun. 1992.
31. S. Oraintara, T. D. Tran, P. N. Heller, and T. Q. Nguyen, "Lattice structure for regular paraunitary linear-phase filterbanks and m-band orthogonal symmetric wavelets," IEEE Trans. Signal Process., vol. 49, no. 11, pp. 2659-2672, 2001.
32. P. Brodatz, A Photographic Album for Artists and Designers. New York: Dover, 1966.